On parameter estimation using level sets

Consider the problem of selecting the member of a parametrized family of curves that best matches a given curve. This is a key step in determining proper values for adjustable parameters in low-order plasma etching and deposition models. Level set methods offer several attractive features for treati...

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Veröffentlicht in:SIAM journal on control and optimization 1999, Vol.37 (5), p.1372-1393
Hauptverfasser: BERG, J. M, HOLMSTRÖM, K
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HOLMSTRÖM, K
description Consider the problem of selecting the member of a parametrized family of curves that best matches a given curve. This is a key step in determining proper values for adjustable parameters in low-order plasma etching and deposition models. Level set methods offer several attractive features for treating such problems. This paper presents a parameter estimation scheme that exploits the level set formulation. The method is completely geometric; there is no need to introduce an arbitrary coordinate system for the curves. Analytic results necessary for the application of gradient descent algorithms are derived, and some preliminary numerical results are presented.
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source SIAM Journals Online; Business Source Complete
subjects Algorithms
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Modelling and identification
Parameter estimation
Plasma etching
title On parameter estimation using level sets
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